121948560 has 60 divisors (see below), whose sum is σ = 409546332. Its totient is φ = 32519424.

The previous prime is 121948549. The next prime is 121948579. The reversal of 121948560 is 65849121.

121948560 is a `hidden beast` number, since 1 + 2 + 1 + 94 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37896336 + 84052224 = 6156^2 + 9168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83967 + ... + 85406.

Almost surely, 2^121948560 is an apocalyptic number.

121948560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121948560 is an abundant number, since it is smaller than the sum of its proper divisors (287597772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121948560 is a wasteful number, since it uses less digits than its factorization.

121948560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169392 (or 169383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121948560 is about 11043.0321922921. The cubic root of 121948560 is about 495.8978501051.

The spelling of 121948560 in words is "one hundred twenty-one million, nine hundred forty-eight thousand, five hundred sixty".